A Numerical Method for Solving Linear First-Order Volterra Integro-Differential Equations With Integral Boundary Condition
| dc.authorwosid | Temel, Zelal/Jxm-8236-2024 | |
| dc.contributor.author | Temel, Zelal | |
| dc.contributor.author | Cakir, Musa | |
| dc.date.accessioned | 2025-05-10T16:57:48Z | |
| dc.date.available | 2025-05-10T16:57:48Z | |
| dc.date.issued | 2024 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Temel, Zelal] Univ Econ & Pedag, Dept Sci Res Innovat & Training Sci & Pedag staff, Karshi 180100, Uzbekistan; [Cakir, Musa] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Tusba, Van, Turkiye | en_US |
| dc.description.abstract | We investigate an efficient numerical method for the linear first-order Volterra integro-differential equations with integral boundary condition. To solve this problem, boundaries are determined its derivative and the solution. The numerical solutions of the problem are modeled over a uniform mesh using the composite right-side rectangle concept for the integral component and the implicit difference rules for the differential component. Next, the stability and convergence of the numerical approach are discussed. The numerical experiments are presented confirming the accuracy of proposed scheme. | en_US |
| dc.description.woscitationindex | Emerging Sources Citation Index | |
| dc.identifier.issn | 1932-9466 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopusquality | N/A | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/4190 | |
| dc.identifier.volume | 19 | en_US |
| dc.identifier.wos | WOS:001420894900005 | |
| dc.identifier.wosquality | N/A | |
| dc.language.iso | en | en_US |
| dc.publisher | Prairie View A & M Univ, dept Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Singularly Perturbed Problem | en_US |
| dc.subject | Volterra Integro-Differential Equation | en_US |
| dc.subject | Boundary Layer | en_US |
| dc.subject | Numerical Solution | en_US |
| dc.title | A Numerical Method for Solving Linear First-Order Volterra Integro-Differential Equations With Integral Boundary Condition | en_US |
| dc.type | Article | en_US |